Answer: D, (3,3)
Step-by-step explanation:
Crawl and then Climb, It is 3 over or +3 on the X Axis. Then up three, +3 on the why axis. This leaves you with (3,3), The location in which the lines intersect.
My height is 69 inches, as for my arm span, i believe its 74 inches.
<h2>
Answer:</h2>
The term speed is used to denote distance traveled divided by time. The speed is the magnitude of instantaneous velocity and so can never be negative. In this problem, we have a boat’s velocity measured in meter per second, described by vector:
![b=(3,-4)](https://tex.z-dn.net/?f=b%3D%283%2C-4%29)
1. Therefore, the magnitude of this vector, which is also the speed of the boat can be found as:
![\left|b\right|=\sqrt{3^2+(-4)^2}=5m/s](https://tex.z-dn.net/?f=%5Cleft%7Cb%5Cright%7C%3D%5Csqrt%7B3%5E2%2B%28-4%29%5E2%7D%3D5m%2Fs)
2. On the other hand, the direction the boat is traveling is the angle that this vector makes with the horizontal. So this can be found as:
![\theta = tan^{-1}(\frac{3}{-4})=-36,86^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20tan%5E%7B-1%7D%28%5Cfrac%7B3%7D%7B-4%7D%29%3D-36%2C86%5E%7B%5Ccirc%7D)
The representation of this problem is shown below.
Answer:
The half-life of this substance would be 8 day
Step-by-step explanation:
Given equation that shows the amount of the substance after t days,
![y = ne^{-0.0856t}](https://tex.z-dn.net/?f=%20y%20%3D%20ne%5E%7B-0.0856t%7D)
Where,
n = initial quantity of the substance
If y = n/2,
![\frac{n}{2}=ne^{-0.0856t}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B2%7D%3Dne%5E%7B-0.0856t%7D)
![\frac{1}{2}=e^{-0.0856t}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%3De%5E%7B-0.0856t%7D)
Taking ln both sides,
![\ln (\frac{1}{2}) = -0.0856t](https://tex.z-dn.net/?f=%5Cln%20%28%5Cfrac%7B1%7D%7B2%7D%29%20%3D%20-0.0856t)
![-0.69315 = -0.0856t](https://tex.z-dn.net/?f=-0.69315%20%3D%20-0.0856t)
![\implies t =\frac{-0.69315}{-0.0856}=8.0975\approx 8](https://tex.z-dn.net/?f=%5Cimplies%20t%20%3D%5Cfrac%7B-0.69315%7D%7B-0.0856%7D%3D8.0975%5Capprox%208)
Hence, the half-life of this substance would be 8 days.